A candy manufacturer produces Halloween surprise bags by filling bags with 5 different surprises. How many different surprise bags can the company create if it stocks 14 different types of surprises?

Answer 1

The problem is a standard 14 choose 5 problem which is ₁₄C₅ = 14!/(5!9!)

Or you can use counting (There are 5 spaces with no replacement): 14*13*12*11*10 , but we don't care about the order of the 5 candies, so we divide by 5!.